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Soviet Journal of Quantum Electronics

Light pulse amplification in a single-mode fiber waveguide containing resonant impurities

Andrei I. Maimistov

Published Mar 31, 1992• 6 citations
Publisher

Abstract

Light pulse amplification in a fiber amplifier is analyzed using a two-level model of resonant impurity atoms in a preinverted state. A steady-state ultrashort pulse propagating in such an amplifier is predicted. The dispersion broadening of this pulse is compensated by a nonlinear compression due to self-interaction, whereas an increase in the amplitude is compensated by linear losses. The dependence of the total energy of a transient pulse on the fiber wavelength is determined and a study is made of the role of the spatial inhomogeneity of the population inversion of the impurity atoms. Quasicoherent amplification is discussed.

DOI
10.1070/qe1992v022n03abeh003399

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Light pulse amplification in a fiber amplifier is analyzed using a two-level model of resonant impurity atoms in a preinverted state. A steady-state ultrashort pulse propagating in such an amplifier is predicted. The dispersion broadening of this pulse is compensated by a nonlinear compression due to self-interaction, whereas an increase in the amplitude is compensated by linear losses. The dependence of the total energy of a transient pulse on the fiber wavelength is determined and a study is made of the role of the spatial inhomogeneity of the population inversion of the impurity atoms. Quasicoherent amplification is discussed.
A theoretical analysis is made of the compensation of a positive nonlinear refractive index of insulators containing impurities by saturation of the refractive index in the anomalous dispersion region. The exact solutions are obtained for self-similar amplification of a laser pulse under conditions of homogeneous broadening of a resonant transition. It is shown that profiling of the time envelope of a steady-state bleaching wave of a saturable absorber together with detuning of the pulse frequency upward from resonance makes it possible to increase the threshold of small-scale self-focusing.
Optical solitons are expected to play a key role in single-mode optical-fiber communication systems. However, they are still degraded by the linear fiber loss. Therefore, in order to be realistically feasible, soliton-based systems will need repeaters to enhance the signal, and, from a practical point of view, optical amplifiers are preferable to electro-optical ones. The use of Raman nonlinearity,1 and, more recently, the use of rare-earth-doped fibers,2 have been proposed for such optical amplification. We have numerically simulated pulse propagation through singlemode silica fibers doped with passive two-level atoms in an attempt to cancel the linear fiber loss by the well known doping resonant nonlinearities. Our first results, from experiments carried out in a variety of circum-stances, indicate that the linear rate of loss may be diminished with a proper choice of parameters but that the doped fiber by itself is unable to support steady propagation.
We have studied optical pulse propagation in a Raman fiber amplifier doped with a three-level medium and driven by a control laser pulse. We analyze the spatial-temporal dynamics of pulse propagation for different atomic initial conditions. The propagation of an optical pulse through the amplifier can be sustained by a control laser that induces transparency via quantum coherence, which is useful for extending the distance between optical repeaters. Under certain conditions, amplification is achieved without population inversion. The results could be useful for laser control of optical pulses in amplifiers and waveguides.
We have found a steady-state solution for a pulse propagating in imhogeneously broadened resonant two-level atoms embedded in a dispersive and nonlinear Kerr lossless host medium. The pulse is of an unchirped hyperbolic-secant form with a linear spatial phase delay. There are several salient features in this solution which are different from the results obtained previously. First, for the given parameters of the medium and carrier frequency, the group velocity, the amplitude, and the pulse width are uniquely determined. Second, the group velocity is independent of the density of the resonant atoms. Third, the solution exists in the positive dispersion region, which is different from solitons in fibers.